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Finding the Fourth Proportional to 85.94, 117.71 and 83.78

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Solution

The fourth proportional to 85.94, 117.71 and 83.78 is: 114.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.94 : 117.71 = 83.78 : x
  2. Step 2: Convert to fraction form
    85.94/117.71 = 83.78/x
  3. Step 3: Cross multiply
    85.94x = 117.71 × 83.78
  4. Step 4: Simplify right side
    85.94x = 9,861.32
  5. Step 5: Solve for x
    x = 9,861.32/85.94
  6. Step 6: Final answer
    x = 114.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.